Answer:
u = |u|(cos∝+cosβ+cosγ)
Step-by-step explanation:
Explanation
Proof:-
Given a vector u = x₁ i + y₁j +z₁k
let O X, OY, O Z be the positive co-ordinate axes
P(x₁,y₁,z₁) be any point in the space
Let OP makes angles α,β,γ with co-ordinate axes OX , OY ,OZ .
The angle α,β,γ are known as direction angles and cosine of the angle
l =cosα , m= cosβ , n=cosγ
The perpendicular PA,PB,PC are drawn co-ordinate axes OX,OY,OZ respecctively
InΔOAP , ∠A =90° , cos∝ =[tex]\frac{x}{r}[/tex]
x₁ = rcos∝
InΔOBP , ∠B =90° , cosβ =[tex]\frac{y}{r}[/tex]
y₁ = rcosβ
InΔOCP , ∠C =90° , cosγ =[tex]\frac{z}{r}[/tex]
z₁ = rcosγ
Given u = x₁ i + y₁j +z₁k
|u| = [tex]\sqrt{(x_{1})^{2} +(x_{2} )^{2} +(x_{3} )^{2} }[/tex]
Therefore u = x₁ i + y₁j +z₁k
u = |u|(cos∝+cosβ+cosγ)
20 POINTS PLS HELP
(((95*26)-470)/16)-35=______________
not 4 a test
Answer:
90
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(((95 × 26) - 470)/16) - 35
Step 2: Evaluate
(Parenthesis) Multiply: ((2470 - 470)/16) - 35(Parenthesis) Subtract: (2000/16) - 35(Parenthesis) Divide: 125 - 35Subtract: 90A. 3(x+2) = 18
T + 2 = 6
1) How can we get Equation B from Equation A?
Answer:
It's 4 I hope this helped.
If I subtracted 2 from 6 in Equation B. I would get 4. Putting 4 to replace the x in Equation A, it makes the equation make sense.
Step-by-step explanation:
3 ( 4 + 2 ) = 18
4 + 2 = 6
If 3x + 2y = 10 and 2x + 3y = 15, find the value
of x+y.
Answer:
x+y=5
Step-by-step explanation:
Isolate y in the first equation:
3x+ 2y = 10
2y = 10 - 3x
y= (10 - 3x)/2
substitute this value of y into the second equation:
2x + 3 ((10 - 3x)/2) = 15
now solve for x:
2x + 3/2 (10 - 3x) =15
2x + 15 - 9/2x = 15
-5/2 x = 15 - 15
-5/2 x / (-5/2) = 0/(-5/2)
x=0
now use this value to solve for y:
y = (10 - 3(0))/2
y = 10/2
y = 5
now x+y
0+5=5
Which shows two possible values for a number represented by the point?
A number line going from 0 to 1. There are 4 equal spaces between 0 and 1. A point is half-way between 0 and 1.
StartFraction 2 Over 4 EndFraction and One-third
StartFraction 2 Over 4 EndFraction and One-half
2 and StartFraction 2 Over 4 EndFraction
2 and One-half pls help im timed
Answer:
B-2/4 and 1/2
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
write the word sentence as an ineguality.
1. A number W is greater than -3.
2. A number y minus 1/2 is no more than -3/2.
Answer:
w > -3
y - 1/2 ≤ -3/2
PLEASE HELP DUE IN 5 min
Answer:
The answer is 21
Step-by-step explanation:
Male the shapes look similar by turning the smaller to be the same as the bigger one the compare side and then find xPlease help, I forgot how to solve a question like this.
Answer:
i forgot to but i think you solve it by adding the values
Step-by-step explanation:
some one pls help me with this fast
this is you're answer please thanks me
which point on the line represents 3/5
Step-by-step explanation:
The correct answer is: Point B.
The easiest way to solve this is to make the fraction, 3/5, to a decimal.
3/5 = 0.6
Since point B is the closest estimate to 0.6 on the number line, we can confirm that Point B represents 3/5.
Answer:
Step-by-step explanation:
help algebra 1 !! help me with this question
Adélie penguins in the Danger Islands represent about 55% of the total Adélie penguin population in the Antarctic Peninsula. They calculated a total of 1,503,054 penguins on the islands.
What is the total estimated Adélie penguin population in Antarctica?
Answer:
Adélie penguins= 826,680
Step-by-step explanation:
Giving the following information:
Total penguin population= 1,503,054
Adélie penguins= 55%
To calculate the number of Adélie penguins, we need to use the following formula:
Adélie penguins= total penguin polulation*proportion of Adélie penguins
Adélie penguins= 1,503,054*0.55
Adélie penguins= 826,680
why did my dad hasn't come back with the milk after ten years?
Answer: gta wasted
Step-by-step explanation: your dad left for milk
please help with right answers
Answer:
25
Step-by-step explanation:
the ratio is 4:5
20/4=5
so multiply 5 by 5 and you will get 25
on the number line jump to where it shows the very end where 20 is and at the bottom it is 25
hope that helps
Find the area of the trapezoid below by decomposing the shape into
rectangles and triangles.
6
5
8
3
Answer:
72 square units
Step-by-step explanation:
The area of the rectangle in the middle: 6x8 = 48 square units
The area of the triangle on the left: (5x6)/2 = 30/2 = 15 square units
The area of the triangle on the right: (3x6)/2 = 18/2 =9
(The 6 for the height of the triangle on the right is from the left side of the rectangle in the middle, they have to be the same length)
48+15+9 = 72 square units
PLEASE HELP ME OUT FAST MULTIPLE CHOICE IF YOU DOMT KNOW PLEASE DONT RIGHT ANYTHING!
Answer:
B
Step-by-step explanation:
When you are finding the solution of two lines on a graph, you look at the intersection point and that is the answer. On the given graph, both lines intersect at (4, -3). Thus, that is the solution.
Best of Luck!
Solve for x. -1/5(x - 4) = -2
Answer:
x=14
Step-by-step explanation:
When the interest on an investment is compounded continuously, the investment grows at a rate that is proportional to the amount in the account, so that if the amount present is P, then dP dt = kP where P is in dollars, t is in years, and k is a constant. If $180,000 is invested (when t = 0) and the amount in the account after 17 years is $421,136, find the function that gives the value of the investment as a function of t. (Round your value of k to two decimal places.)
Answer:
the interest rate on this investment k = 0.05 or 5%
Step-by-step explanation:
Given that;
dp/dt = kp
dp/p = k dt
now we integrate on both sides
integral dp/p = integral k dt
ln p = kt + c
p =e^kt + c
p = ce^kt
Given that p = $180,000 is invested (when t = 0)
p = ce^kt
we substitute
180000 = ce^k×0
180000 = ce^0
180000 = c × 1
c = 180,000
we substitute the value in the equation
p = 180000e^kt
now given that the amount in the account after 17 years is $421,136
i.e at t = 17 and p = 421,136
we substitute
421,136 = 180000e^17k
divide both sides by 180000
421136/180000 = 180000e^17k / 180000
e^17k = 2.3396
17k = In(2.3396)
17k = 0.8499
k = 0.04999 ≈ 0.05
therefore the interest rate on this investment k = 0.05 or 5%
You have $50. You have some $5 bills and some $10
bills. What are the possible amounts of each that you
could have? Let x be the number of $5 bills and y be the
number of $10 bills.
Answer:
10x + 5y = 50
Step-by-step explanation:
Proportions! Please help quick!
Answer:
1. 3/195, 5/325, 9/585, 10/650
2. 2/15, 3/22.50, 5/37.50, 8/60
Step-by-step explanation:
Need help!!!!!!!!!!!!!
Answer:
25 units (cant see what it says on the side :/ ) per hour
Step-by-step explanation:
hope this helps <3
Please help me thank you I appreciate it
Answer:
SRQ = 66 degrees
Step-by-step explanation:
QRT = 33 degrees
A bisector bisects angles evenly, which means that SRTis also 33 degrees. ADD these two together you get 66 degrees for this angle.
Answer:
<SRQ = 66
Step-by-step explanation:
bisect means to "cut" in half so the line pretty much separates half and half
What is an equation of the line that passes through the points (-6,-5) and (-4,-6)? Put your answer in fully redued form.
Answer:
y=-5/2x-16
Step-by-step explanation:
1. Find the slope using the slope formula and the two coordinates provided.
m=y2-y1/x2-x1
Put the y values from both coordinates on top and the x values on bottom.
-6--5/-4--6
Solve for M. -6--5/-4--6 = -6+1/-4+6
= -5/2
Slope is -5/2.
2. Using the slope and one of the coordinates (doesn't matter which), put the equation in point-slope form: y-y1=m(x-x1)
y+6=-5/2(x+4)
3. Distribute the -5/2 to x+4 and simplify (multiply x and 4 by -5/2)
y+6=-5/2x-10
Subtract 6 from both sides to get y by itself.
y=-5/2x-16
4. y=-5/2x-16 is your answer
Select the correct answer.
A drugstore sells vitamins in bottles with different pill counts. The price of each bottle is shown in the table below.
Price
Number of
Pills
50
100
150
$1.85
$3.70
$5.55
$7.40
$9.25
200
250
About how much does one vitamin cost?
$1.85
$0.37
$0.92
$0.04
$0.02
Answer:
Step-by-step explanation:
The approximate cost of one vitamin is $0.04 thus option (A) is correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given number of pills and cost.
The cost per pill from the first raw = $2.05/50 = $0.041
The cost per pill from the second raw = $4.10/100 = $0.041
The cost per pill remains constant in all so this is a direct proportion.
Hence "The approximate cost of one vitamin is $0.04".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ2
The complete structured question is below,
You deposit $2200 in the account that pays 3% annual interest compounded continuously after 20 years you withdraw the money what formula do you use
Answer: 6600
Step-by-step explanation:
To find the original price, first we need to answer, \$\greenD{1.54}$1.54dollar sign, start color #1fab54, 1, point, 54, end color #1fab54 is \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent of what number?
Hint #22 / 5
Percent means per hundred, so \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent is equivalent to \blueD{\dfrac{5.5}{100}}
100
5.5
start color #11accd, start fraction, 5, point, 5, divided by, 100, end fraction, end color #11accd which is also equal to \blueD{5.5\div 100}5.5÷100start color #11accd, 5, point, 5, divided by, 100, end color #11accd.
\blueD{5.5 \div 100 = 0.055}5.5÷100=0.055start color #11accd, 5, point, 5, divided by, 100, equals, 0, point, 055, end color #11accd
Hint #33 / 5
To find the original price, we need to know \blueD{0.055}0.055start color #11accd, 0, point, 055, end color #11accd times what number equals \greenD{1.54}1.54start color #1fab54, 1, point, 54, end color #1fab54.
\blueD{0.055} \maroonD{x} = \greenD{\$1.54}0.055x=$1.54start color #11accd, 0, point, 055, end color #11accd, start color #ca337c, x, end color #ca337c, equals, start color #1fab54, dollar sign, 1, point, 54, end color #1fab54
Hint #44 / 5
\begin{aligned} \blueD{0.055} \maroonD{x} &= \greenD{\$1.54} \\\\ \dfrac{\blueD{0.055} \maroonD{x}}{\blueD{0.055}} &= \dfrac{\greenD{\$1.54}}{\blueD{0.055}} \\\\ \maroonD{x} &= \maroonD{28} \end{aligned}
0.055x
0.055
0.055x
x
=$1.54
=
0.055
$1.54
=6600
1. 400 +4
2. 320+ 4
3. 360 +9
4. 5,0005
5. 3,000 +5
Answer:
1. 400 ÷ 4 = 100
2. 320 ÷ 4 = 80
3. 360 ÷ 9 = 40
4. 5000 ÷ 5 = 1000
5. 3000 ÷ 5 = 600
Answer:
1:100
2:80
3:40
4:1000
5:600
Step-by-step explanation:
HELP ME ASAP PLEASEEEE
Answer:
she makes 22 cookies batches
Step-by-step explanation:
22*3=7 2/3
7 2/3 / 3 = 22
HELP NOW
The energy created by the WHAT
gradient is used by ATP synthase to chemically
bond a phosphate group to ADP, synthesizing ATP
in the light reactions of photosynthesis,
Answer:
ATP synthase utilizes energy of the proton gradient to attach phosphate group to ADP.
Step-by-step explanation:
Could someone please help me with this equation, thank you.
-8 + x/5 = 12
Answer:
x = 100
Step-by-step explanation:
1. To get rid of the denominator of 5, multiply both sides of the equation to get 5
-40 + x = 60
2. Add 40 on both sides to get the variable x by itself
x = 60 + 40
3. Solve
x = 100
Answer:
x=100
Step-by-step explanation:
-8+x/5=12
--8+x/5=12+8
x/5=20
5*20=100
x=100
A fruit juice company includes 1.872 ounces of orange juice in a 6.65-ounce bottle of a mixed fruit
juice. How much of the bottle of mixed fruit juice is NOT orange juice?
ounces
(Type a whole number or a decimal.)
Answer:
4.778 ounces
Step-by-step explanation:
Given that:
Ounces of orange juice in mixed fruit juice = 1.872
Ounces of mixed fruit juice = 6.65 ounces
Ounces of Mixed fruit juice that is not orange juice :
(Ounces of mixed fruit juice - Ounces of orange juice)
(6.65 - 1.872) ounces
= 4.778 ounces
I need help I don’t know how to do these problems
Answer:
It is in fact 113 I'm just here to explain
Step-by-step explanation:
Basically M6 and M7 must make a staright line(180) and since we already know that M6 is 67 we just have to subtract 67 from 180 to get the answer we are looking for. ( it would be the same process if we were looking for M1 (113) and also if you had the measure of M1 you would have had your answer to M7 because they are vertical angles therefore making them congruent
